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  • Committer: Package Import Robot
  • Author(s): Sylvestre Ledru
  • Date: 2012-08-30 14:42:38 UTC
  • mfrom: (1.4.7)
  • Revision ID: package-import@ubuntu.com-20120830144238-c1y2og7dbm7m9nig
Tags: 5.4.0-beta-3-1~exp1
* New upstream release
* Update the scirenderer dep
* Get ride of libjhdf5-java dependency

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<?xml version="1.0" encoding="UTF-8"?>
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<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="umf_lusolve">
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  <refnamediv>
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    <refname>umf_lusolve</refname>
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    <refpurpose> solve a linear sparse system given the LU factors  </refpurpose>
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  </refnamediv>
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  <refsynopsisdiv>
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    <title>Calling Sequence</title>
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    <synopsis>[x] = umf_lusolve(LU_ptr, b [, st, A])</synopsis>
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  </refsynopsisdiv>
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  <refsection>
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    <title>Arguments</title>
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    <variablelist>
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      <varlistentry>
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        <term>LU_ptr  </term>
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        <listitem>
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          <para>a pointer to umf lu factors (L,U,p,q,R) </para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>b  </term>
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        <listitem>
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          <para>a real or complex column vector or a matrix (multiple rhs)</para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>st  </term>
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        <listitem>
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          <para>(optional) a string "Ax=b" (default) or "Ax'=b" 
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            (to be written "Ax''=b"  in scilab langage: a quote in a string
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            must be doubled !)
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          </para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>A  </term>
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        <listitem>
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          <para>(optional) the sparse square matrix corresponding to the LU factors (LU_ptr must be got with LU_ptr = umf_lufact(A))</para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>x  </term>
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        <listitem>
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          <para>a column vector or a matrix in case of multiple rhs ( x(:,i) is solution of A x(:,i) = b(:,i) or A'x(:,i) = b(:,i) )</para>
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        </listitem>
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      </varlistentry>
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    </variablelist>
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  </refsection>
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  <refsection>
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    <title>Description</title>
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    <para>
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      This function must be used in conjonction with <link linkend="umf_lufact">umf_lufact</link> which
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      computes the LU factors of a sparse matrix. The optional
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      <literal>st</literal> argument lets us choose between the solving of Ax=b (general case)
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      or of A'x=b (sometimes useful). If you give the 4th argument then
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      iterative refinement will be also proceceed (as in umfpack) to
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      give a better numerical solution. 
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    </para>
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  </refsection>
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  <refsection>
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    <title>Examples</title>
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    <para>
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      see the example section of <link linkend="umf_lufact">umf_lufact</link>
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    </para>
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  </refsection>
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  <refsection role="see also">
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    <title>See Also</title>
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    <simplelist type="inline">
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      <member>
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        <link linkend="umfpack">umfpack</link>
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      </member>
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      <member>
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        <link linkend="umf_lufact">umf_lufact</link>
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      </member>
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      <member>
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        <link linkend="umf_luget">umf_luget</link>
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      </member>
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      <member>
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        <link linkend="umf_ludel">umf_ludel</link>
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      </member>
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      <member>
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        <link linkend="umf_luinfo">umf_luinfo</link>
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      </member>
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    </simplelist>
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  </refsection>
 
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    <refnamediv>
 
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        <refname>umf_lusolve</refname>
 
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        <refpurpose> solve a linear sparse system given the LU factors  </refpurpose>
 
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    </refnamediv>
 
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    <refsynopsisdiv>
 
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        <title>Calling Sequence</title>
 
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        <synopsis>[x] = umf_lusolve(LU_ptr, b [, st, A])</synopsis>
 
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    </refsynopsisdiv>
 
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    <refsection>
 
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        <title>Arguments</title>
 
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        <variablelist>
 
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            <varlistentry>
 
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                <term>LU_ptr  </term>
 
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                <listitem>
 
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                    <para>a pointer to umf lu factors (L,U,p,q,R) </para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>b  </term>
 
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                <listitem>
 
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                    <para>a real or complex column vector or a matrix (multiple rhs)</para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>st  </term>
 
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                <listitem>
 
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                    <para>(optional) a string "Ax=b" (default) or "Ax'=b" 
 
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                        (to be written "Ax''=b"  in scilab langage: a quote in a string
 
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                        must be doubled !)
 
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                    </para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>A  </term>
 
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                <listitem>
 
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                    <para>(optional) the sparse square matrix corresponding to the LU factors (LU_ptr must be got with LU_ptr = umf_lufact(A))</para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>x  </term>
 
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                <listitem>
 
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                    <para>a column vector or a matrix in case of multiple rhs ( x(:,i) is solution of A x(:,i) = b(:,i) or A'x(:,i) = b(:,i) )</para>
 
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                </listitem>
 
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            </varlistentry>
 
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        </variablelist>
 
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    </refsection>
 
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    <refsection>
 
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        <title>Description</title>
 
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        <para>
 
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            This function must be used in conjonction with <link linkend="umf_lufact">umf_lufact</link> which
 
53
            computes the LU factors of a sparse matrix. The optional
 
54
            <literal>st</literal> argument lets us choose between the solving of Ax=b (general case)
 
55
            or of A'x=b (sometimes useful). If you give the 4th argument then
 
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            iterative refinement will be also proceceed (as in umfpack) to
 
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            give a better numerical solution. 
 
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        </para>
 
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    </refsection>
 
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    <refsection>
 
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        <title>Examples</title>
 
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        <para>
 
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            see the example section of <link linkend="umf_lufact">umf_lufact</link>
 
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        </para>
 
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    </refsection>
 
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    <refsection role="see also">
 
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        <title>See Also</title>
 
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        <simplelist type="inline">
 
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            <member>
 
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                <link linkend="umfpack">umfpack</link>
 
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            </member>
 
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            <member>
 
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                <link linkend="umf_lufact">umf_lufact</link>
 
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            </member>
 
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            <member>
 
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                <link linkend="umf_luget">umf_luget</link>
 
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            </member>
 
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            <member>
 
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                <link linkend="umf_ludel">umf_ludel</link>
 
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            </member>
 
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            <member>
 
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                <link linkend="umf_luinfo">umf_luinfo</link>
 
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            </member>
 
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        </simplelist>
 
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    </refsection>
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</refentry>